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olga nikolaevna [1]
3 years ago
13

What is the solution to the following system of equations?

Mathematics
2 answers:
Paraphin [41]3 years ago
8 0

Answer:

Option 2 ( 1,-10)

Step-by-step explanation:

The two equations are y = -x²-5x-4 -----(1)

                              and y = -x²+9x-18-------(2)

To get the solution of these lines we will substitute the value of y form equation 1 to 2.

- x² - 5x -4 = -x²+9x-18

Now by collecting similar terms on each side.

-x² -5x + x²-9x = -18 + 4

-14x = -14

14x = 14

x = 1

By putting the value of x in equation 1.

y = -1 - 5 - 4 = -10

So the solution is (1, -10)

Therefore Option 2 is the correct answer.

Oduvanchick [21]3 years ago
6 0

Answer:

choice 2 is correct.

Step-by-step explanation:

We have given the following system of equations

y = x² - 5x -4     ( eq I )

y = -x² + 9x - 18  ( eq II)

Putting the value of y from (eq I) in (eq II).

-x²-5x-4 = -x²+ 9x - 18

-x²+x²-5x-9x-4+18 = 0

-14x +14 =0

-14x = -14

x = -14 / -14

x= 1

Putting the value of x in equation I to find the value of y

y =  -(1)² - 5(1) -4

y = -1 -5-4

So,(1 ,-10 ) is the solution  of given system of equations.

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Step-by-step explanation:

The volume (V) of a rectangular prism is calculated using the formula

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where l is the length, b the breadth and h the height, hence

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4 0
3 years ago
15x-7=2+12x I need help with this
Amanda [17]

Answer:

\huge{ \boxed{ \bold{ \tt{x = 3}}}}

<h3>♁ Question : Solve for x</h3>
  • 15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>
  • \text{15x - 7 = 2 + 12x}

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛\sf{15x - 12x - 7 = 2}

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛\sf{15x - 12x = 2 + 7}

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛\sf{3x = 2 + 7}

Add the numbers : 2 and 7

➛\sf{3x = 9}

Divide both sides by 3

➛ \sf{ \frac{3x}{3}  =  \frac{9}{3}}

➛ \boxed{ \bold{ \sf{x = 3}}}

The value of x is \boxed{ \sf{3}}

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

\sf{15x - 7 = 2 + 12x}

\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}

\dashrightarrow{ \sf{45 - 7 = 2 + 36}}

\dashrightarrow{ \sf{38 = 38}}

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>
  • If an equation contains fractions ,multiply each term by the L.C.M of denominators.
  • Remove the brackets , if any.
  • Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
  • Simplify and get the single term on each side.
  • Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0
2 years ago
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